20. Which detector can be used for infrared spectroscopy?
(A) photomultiplier tube
(B) photodiode
(C) charge coupled device
(D) photoconductive detector
(E) photodiode array

複選題21. Which statements about the junction potential in electrochemistry are FALSE? (A) It depends on the relative mobilities of the electrolyte ions. (B) It can be reduced but not completely eliminated. (C) It affects the outcome of the potentiometric measurements. (D) It is inversely proportional to the difference between the half-cell potentials. (E) It cannot be measured.

複選題22. Fe2+ is titrated with Ce4+ to form Fe3+ and Ce3+. Which statements are TRUE of the potential at the equivalence point of this titration? (A) The potential is equal to the sum of the standard reduction potentials of the two half-reactions minus the potential of the reference electrode. (B) The potential is cqual to the sum of the standard reduction potentials of the two half-reactions. (C) The potential is equal to the average of the standard reduction potentials of the two half-reactions minus the potential of the reference electrode. (D) The potential is equal to the average of the standard reduction potentials of the two half-reactions. (E) It lies at the mid-point of the redox titration curve.

複選題23. Which statements regarding cyclic voltammetry of a reversible reaction (O + ne- → R) are FALSE ? (A) The peak anodic and peak cathodic currents are similar in magnitude. (B) The half-wave potential lies midway between the potentials, at which the peak anodic and peak cathodic currents occur. (C) The reaction proceeds fast enough to deplete the concentrations of the reactant and product at the surface of the electrode. (D) The peak cathodic current of the first forward sweep is proportional to the log (analyte concentration). (E) The potentials at which the peak anodic and peak cathodic currents occur are separated by 57.0/n mV at 25℃.

複選題24. Which statements regarding polargraphy are FALSE? (A) The dropping-mercury electrode yields a more reproducible current-potential behavior than other electrodes. (B) The reduction of a metal into a mercury amalgam is more favorable than reduction to the solid state. (C) The current we seek to measure is the charging current, and the current that interferes with every measurement is the faradaic current. (D) In sampled current polarography, the current is measured only in the initial milliseconds of the life of each Hg drop. (E) For quantitative analysis, the limiting current should be controlled by the rate at which analyte can diffuse to the electrode, so an unstirred solution is used to minimize convection.

複選題25. Which statements regarding ion-selective electrodes are FALSE? (A) Ion-selective electrodes involve redox processes. (B) A difference of 59.16n mV, where n is the charge on the analyte, builds up across the membrane for every factor-of-10 change in analyte activity in the outer solution. (C) The ion-selective electrode responds to the activity of the ion in all forms in the solution, including both the frec analyte and that which is complexed by anions in solution. (D) The smaller the selectivity coefficient for an interfering species, the less interference by that species. (E) Ion-selective electrodes contain a membrane that selectively binds the ion of interest.

1. A uniform disk of mass m and radius R (so the moment of inertia ) is rotating about its symmetric axis at an angular velocity ω0. A ring of the same mass m and radius R originally at rest suddenly drops on the disk. The coeffieient of kinetic friction between the disk and the ring is μ. How long does it take for the ring to reach a final angular velocity ω and rotate together with the disk as shown in the right figure? The gravitational acceleration is g. (A)(B)(C) (D)(E)

2. Dectermine the height of the center of mass of a solid uniform pyramid that has four triangular faces and a square base with equal sides all of length S as shown in the figure. The height is measured from the bottom of the pyramid.(A)(B)(C) (D)(E)

3. Two speakers both produce sound wave of power = 400πWatt, frequency = 170 Hz, and sound velocity = 340 m/s. They act as point sources and propogate in all directions. The output of the two speakers are synchronized and have the same phase. They are placed at different locations and the distances between the speakers and the observer P are d1 = 10 m and d2 = 5 m, respectively. What is the intensity of the sound wave detected by the observer? (The effect of interference should be considered.)(A) 1 W/m2 (B) 2 W/m2 (C) 3 W/m2 (D) 5 W/m2 (E) 9 W/m2

4. Two thin lenses form a compound lens system. The front focal length (FFL) of this compound lens system is defined as the distance between a point source and the front lens so that the light passing this system will become parallel. In the figure, the two lenses have focal length f1 = 10 cm and f2 = -10 cm, respectively, and are separated by a distance d = 5 cm. What is the FFL of this compound lens system? (A) 5 cm (B) 10 cm (C) 12.5cm (D) 25 cm (E) 30 cm

5. Which of the following statements is correct? (A) The surface charge density of a perfect conductor must be uniform. (B) The electric field line is the trajectory of a charged particle under electric field. (C) The conductor can be thought of as a dielectric material with dielectric constant k=0. (D) If the electric potential at some position is zero, the electric field at that position must also be zero. (E) The surface of a perfect conductor is an equipotential surface.

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